Download e-book for kindle: Analytical and Computational Methods in Electromagnetics by Ramesh Garg

By Ramesh Garg

ISBN-10: 1596933852

ISBN-13: 9781596933859

ISBN-10: 1596933860

ISBN-13: 9781596933866

In achieving optimum microwave approach functionality by way of gaining knowledge of the rules and strategies underlying present day strong computational instruments and advertisement software program in electromagnetics. This authoritative source provides you with transparent and entire rationalization of this crucial electromagnetics wisdom, giving you the analytical historical past you want to comprehend such key ways as mother (method of moments), FDTD (Finite distinction Time area) and FEM (Finite aspect Method), and Green's services. This complete e-book contains all math essential to grasp the fabric. furthermore, it positive factors a number of solved difficulties that support ascertain your realizing of key techniques during the publication.

To preserve you from being slowed down with advanced mathematical info (vector calculus) and coding, this entire quantity areas emphasis at the research of the scalar wave equation in Cartesian coordinates. The booklet additionally comprises a number of selection questions, applicable for self research or classes, that aid make clear recommendations with none mathematical burden. filled with over 1,300 equations, many of the difficulties awarded within the booklet may be solved utilizing not anything greater than calculator.

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CD-ROM-Included! contains time-saving Matlab® resource code for the issues offered within the e-book which are simply changed that can assist you clear up related difficulties within the box.

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And S. C. , Norwood, MA: Artech House, 2005. Sullivan, D. , Electromagnetic Simulation Using the FDTD Method, New York: IEEE Press, 2000. 1 Introduction A large number of elementary and advanced problems in electromagnetics are formulated in terms of differential equations involving functions of more than one variable. These are known as partial differential equations (PDE). The commonly occurring PDEs are: 1. 1) This is a homogeneous, elliptic PDE equation. It occurs in the studies of electrostatics, dielectrics, static currents, magnetostatics, and so on.

One may choose the easier one. 6(a). An equivalent problem is obtained by filling the aperture with PEC as described earlier, thus converting the original problem into two separate problems. 6(b). The current M s is obtained from the aperture electric field as M s = E × nˆ . 5(c). The equivalence principle is a very useful concept in converting a nonhomogeneous dielectric region problem into two equivalent problems each with homogeneous dielectric [5, p. 14]. The homogeneous Green’s function e −jkr /(4␲ r) can then be employed for the two equivalent problems.

25) where k = ␻ √⑀␮ is the wave number or propagation constant in the medium. Using the vector identity ١ × ١ × E = ١ (١ . 25) as ١2 E + k 2 E = 0 since ١ . 9 Differential Equations in Electromagnetics 13 where ٌ 2 is the Laplacian operator. 27a) is called the wave equation for the electric field. 29) Wave Equation for Guided Waves. The wave equation for the guided waves can be simplified because the direction of propagation is specified with an assumed propagation constant along this direction.

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Analytical and Computational Methods in Electromagnetics by Ramesh Garg

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